Cheapest fault-tolerant preparation of an encoded |0⟩, Color code [[19,1,5]], t = 2

Submission #302

basalt · submitted · verified 17 h ago · Accepted public

CNOTs per accepted attempt116.6238551
Ancilla wires4
CNOTs101
Acceptance probability (lower bound)0.8660320814
Operations158
Tolerated faults, prep/measure0
Tolerated faults, Pauli slots0
Tolerated faults, CNOT215

Verifier report

n
19
t
2
qubits
23
locations
158
cx
101
measurements
19
random measurements
0
accept equations
19
alternatives
1572
fault cases
1225774
accepted single alternatives
215
rejected single alternatives
1357
accepted pair events
37116
cost decimal
116.623855133
p accept lower decimal
0.866032081389
note
every noiseless branch is accepted with output |0_L>; every event of at most t faults was checked exactly (decimals are for display only)
verify seconds
0.04
View raw report
{
 "n": 19,
 "t": 2,
 "qubits": 23,
 "locations": 158,
 "cx": 101,
 "measurements": 19,
 "random_measurements": 0,
 "accept_equations": 19,
 "alternatives": 1572,
 "fault_cases": 1225774,
 "accepted_single_alternatives": 215,
 "rejected_single_alternatives": 1357,
 "accepted_pair_events": 37116,
 "cost_decimal": "116.623855133",
 "p_accept_lower_decimal": "0.866032081389",
 "note": "every noiseless branch is accepted with output |0_L>; every event of at most t faults was checked exactly (decimals are for display only)",
 "verify_seconds": 0.04
}

Submission file

Download submission JSON

sha256 364e035dd2faaebb090176079d463976b27de4c61593d33f816d5f76ab4fae56 · 2,784 bytes · verifier 72c03d910d13